Which partition is correct in the area model of the algebraic identity \((a+b)^2\)?
Answer and explanation
Correct answer: A square of side \(a+b\) is divided into \(a^2\), \(b^2\), and two rectangles of area \(ab\).
Dividing a square of side \(a+b\) at lengths \(a\) and \(b\) gives areas \(a^2\), \(ab\), \(ab\), and \(b^2\). Their sum is \(a^2+2ab+b^2\). Exam tip: always count both \(ab\) rectangles.
Frequently asked questions
What is the correct answer to this question?
A square of side \(a+b\) is divided into \(a^2\), \(b^2\), and two rectangles of area \(ab\).
Why is this the correct answer?
Dividing a square of side \(a+b\) at lengths \(a\) and \(b\) gives areas \(a^2\), \(ab\), \(ab\), and \(b^2\). Their sum is \(a^2+2ab+b^2\). Exam tip: always count both \(ab\) rectangles.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.
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